# Feedback Capacity of Parallel ACGN Channels and Kalman Filter: Power Allocation with Feedback

arXiv: https://arxiv.org/abs/2102.02730 · HTML: https://mlsanity.com/paper/2102.02730/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 2 of its 30 references that are in the map.
- First posted on arXiv 4 Feb 2021.

## Builds on (most cited first, 2 of 2)

- [Capacity of Continuous Channels with Memory via Directed Information Neural Estimator](https://mlsanity.com/paper/2003.04179/) (2020)
- [Feedback Capacity of Gaussian Channels Revisited](https://mlsanity.com/paper/1511.06866/) (2015)

## Abstract (arXiv)

In this paper, we relate the feedback capacity of parallel additive colored Gaussian noise (ACGN) channels to a variant of the Kalman filter. By doing so, we obtain lower bounds on the feedback capacity of such channels, as well as the corresponding feedback (recursive) coding schemes, which are essentially power allocation policies with feedback, to achieve the bounds. The results are seen to reduce to existing lower bounds in the case of a single ACGN feedback channel, whereas when it comes to parallel additive white Gaussian noise (AWGN) channels with feedback, the recursive coding scheme reduces to a feedback "water-filling" power allocation policy.